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Question 8 The position vector r(t) = (4cos(t), 7 sin(t), 51²) describes the path of an object moving in space. Find the velocity v(t) of the object.

Question 8 The position vector r(t) = (4cos(t), 7 sin(t), 51²) describes the path of an object moving in space. Find the velocity v(t) of the object.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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F8 Question 8 The position vector r(t) = (4cos(t), 7 sin(t), 5t2) describes the path of an object moving in space. Find the velocity v(t) of the object. O v(t) = -4sin(t) i − 7cos(t) j+5k Ov(t)=-4sin(t)∙i +7cos(t)∙j+10tk O v(t)=4sin(t)⋅i − 7cos(t).j+5k O v(t)=-4cos(t)∙i +7sin(t)∙j+5k O v(t)=-4cos(t) i − 7sin(t) j+10k Question 9 Use the given acceleration function and initial conditions to find the position at time t = 1. a(t) = 10i +6j+6k, v(0) = 0, r(0) = 2j logi F9 B F10 + 11 F11 F12 backspace print screen scroll lock insert 1 delete break home page up end num lock page down 7 home 8 4 o pg up LO S end ~ a
Transcribed Image Text:F8 Question 8 The position vector r(t) = (4cos(t), 7 sin(t), 5t2) describes the path of an object moving in space. Find the velocity v(t) of the object. O v(t) = -4sin(t) i − 7cos(t) j+5k Ov(t)=-4sin(t)∙i +7cos(t)∙j+10tk O v(t)=4sin(t)⋅i − 7cos(t).j+5k O v(t)=-4cos(t)∙i +7sin(t)∙j+5k O v(t)=-4cos(t) i − 7sin(t) j+10k Question 9 Use the given acceleration function and initial conditions to find the position at time t = 1. a(t) = 10i +6j+6k, v(0) = 0, r(0) = 2j logi F9 B F10 + 11 F11 F12 backspace print screen scroll lock insert 1 delete break home page up end num lock page down 7 home 8 4 o pg up LO S end ~ a
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